Free · Class 10 · 6 worksheets · answer keys · practise online · set 43
Arithmetic progression (AP) worksheets — Class 10
Free arithmetic progression worksheets for Class 10: common difference, nth term, which term, sum of n terms, is it an AP and word problems — with answers.
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An AP adds the same number each time: 3, 7, 11, 15… The common difference d = a₂ − a₁ = 4. nth term : aₙ = a + (n − 1)d. Example: the 10th term of 3, 7, 11… is 3 + 9 × 4 = 39.Sum of n terms : Sₙ = n/2 [2a + (n − 1)d] = n/2 (first term + last term).
Common difference (Class 10) Is it an AP? (Class 10) nth term (Class 10) Which term? (Class 10) Sum of n terms (Class 10) AP word problems (Class 10)
Common difference Class 10 · Worksheet 1 · set 43
Name: Date: Score: / 10
Find d.
Common difference of 19, 29, 39, 49, … Common difference of 2, 7, 12, 17, … Common difference of 5, 12, 19, 26, … Common difference of 20, 23, 26, 29, … Common difference of −7, −13, −19, −25, … Common difference of −13, −4, 5, 14, … Common difference of −11, −3, 5, 13, … Common difference of 8, 0, −8, −16, … Common difference of 7, 8, 9, 10, … Common difference of 5, 9, 13, 17, …
✅ Answer key — Common difference
d = 10 d = 5 d = 7 d = 3 d = −6 d = 9 d = 8 d = −8 d = 1 d = 4 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Is it an AP? Class 10 · Worksheet 2 · set 43
Name: Date: Score: / 8
Answer, and give d if it is an AP.
Is 17, 16, 18, 14 an AP? Is −5, 3, 11, 19 an AP? Is 1, 0, −1, −2 an AP? Is 7, 0, −7, −14 an AP? Is 17, 15, 13, 11 an AP? Is −4, 2, 8, 12 an AP? Is 5, 0, −5, −10 an AP? Is 1, 1, 1, 1 an AP?
✅ Answer key — Is it an AP?
No Yes, d = 8 Yes, d = −1 Yes, d = −7 Yes, d = −2 No Yes, d = −5 Yes, d = 0 TalentJR · talentjr.in/arithmetic-progression-worksheet
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nth term Class 10 · Worksheet 3 · set 43
Name: Date: Score: / 8
Find the term.
The 30th term of −19, −17, −15, … The 35th term of −12, −17, −22, … The 34th term of 0, 1, 2, … The 28th term of −17, −15, −13, … The 40th term of −3, 0, 3, … The 24th term of −14, −21, −28, … The 32nd term of −17, −15, −13, … The 17th term of −15, −7, 1, …
✅ Answer key — nth term
39 −182 33 37 114 −175 45 113 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Which term? Class 10 · Worksheet 4 · set 43
Name: Date: Score: / 8
Solve.
Which term of 5, −2, −9, … is −191? Which term of −13, −8, −3, … is 132? Which term of −15, −14, −13, … is 7? Which term of −13, −19, −25, … is −289? Which term of −13, −16, −19, … is −130? Which term of 10, 2, −6, … is −358? Which term of −1, −3, −5, … is −51? Which term of −20, −26, −32, … is −80?
✅ Answer key — Which term?
the 29th term the 30th term the 23rd term the 47th term the 40th term the 47th term the 26th term the 11th term TalentJR · talentjr.in/arithmetic-progression-worksheet
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Sum of n terms Class 10 · Worksheet 5 · set 43
Name: Date: Score: / 8
Find the sum.
Sum of the first 26 terms of −8, −6, −4, … Sum of the first 15 terms of 5, 7, 9, … Sum of the first 18 terms of −4, −8, −12, … Sum of the first 8 terms of 8, 12, 16, … Sum of the first 15 terms of 12, 18, 24, … Sum of the first 22 terms of 1, 7, 13, … Sum of the first 21 terms of 18, 25, 32, … Sum of the first 19 terms of 3, 0, −3, …
✅ Answer key — Sum of n terms
442 285 −684 176 810 1408 1848 −456 TalentJR · talentjr.in/arithmetic-progression-worksheet
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AP word problems Class 10 · Worksheet 6 · set 43
Name: Date: Score: / 6
Solve.
Aman saves ₹450 in the first month and ₹50 more every month after that. How much does he save in 6 months? A hall has 25 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 10th row? A hall has 29 seats in the first row and 4 more seats in each row than the row before. How many seats are in the 17th row? A hall has 10 seats in the first row and 2 more seats in each row than the row before. How many seats are in the 30th row? Aman saves ₹250 in the first month and ₹20 more every month after that. How much does he save in 9 months? Aman saves ₹350 in the first month and ₹60 more every month after that. How much does he save in 7 months?
✅ Answer key — AP word problems
₹3450 43 93 68 ₹2970 ₹3710 TalentJR · talentjr.in/arithmetic-progression-worksheet
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Questions
What is the formula for the nth term of an AP? aₙ = a + (n − 1)d, where a is the first term and d the common difference.
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